Analysis of thick and thin shell structures by curved finite elements

International Journal for Numerical Methods in Engineering - Tập 2 Số 3 - Trang 419-451 - 1970
Sohrabuddin Ahmad1, Bruce M. Irons2, O.C. Zienkiewicz2
1Civil Engineering Department, University of Engineering and Technology, Dacca, East Pakistan
2Civil Engineering Department, University of Wales, Swansea

Tóm tắt

AbstractA general formulation for the curved, arbitrary shape of thick shell finite elements is presented in this paper along with a simplified form for axisymmetric situations. A number of examples ranging from thin to thick shell applications are given, which include a cooling tower, water tanks, an idealized arch dam and an actual arch dam with deformable foundation.A new process using curved, thick shell finite elements is developed overcoming the previous approximations to the geometry of the structure and the neglect of shear deformation.A general formulation for a curved, arbitrary shape of shell is developed as well as a simplified form suitable for axisymmetric situations.Several illustrated examples ranging from thin to thick shell applications are given to assess the accuracy of solution attainable. These examples include a cooling tower, tanks, and an idealized dam for which many alternative solutions were used.The usefulness of the development in the context of arch dams, where a ‘thick shell’ situation exists, leads in practice to a fuller discussion of problems of foundation deformation, etc., so that practical application becomes possible and economical.

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International Journal for Numerical Methods in Engineering

Tập 2 Số 3

419-451

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